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Calculators and Calculations
Home›Calculators and Calculations›How to calculate 1/3 of a number

How to calculate 1/3 of a number

By Matthew Lynch
September 28, 2023
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Introduction

Dividing a number into thirds or finding one-third of a number is a common mathematical operation. It is frequently utilized in daily life, from dividing resources among three people to calculating percentages. In this article, we will look at how to calculate 1/3 of a number using straightforward methods.

Method 1: Multiply by Fraction

The simplest way to find 1/3 of a number is to multiply the given number by the fraction 1/3. Follow the steps below:

1. Write down the given number as a fraction by placing it over 1 (e.g., if the given number is 12, write it as 12/1).

2. Write down the fraction representing one-third (which is 1/3).

3. Multiply the two fractions together:
(Given Number / 1) * (1 / 3)

4. Simplify if necessary.

Example: Calculate 1/3 of 9

(9 / 1) * (1 / 3) = (9 * 1) / (1 * 3) = 9 / 3 = 3

Method 2: Divide by Three

Another way to find one-third of a number is to divide it directly by three:

Example: Calculate 1/3 of 15

15 ÷ 3 = 5

Method 3: Using Percentages

You can also find one-third of a number using percentages. Follow these steps:

1. Convert the fraction representing one-third (1 / 3) into a percentage by multiplying it by 100:
(1 / 3) * 100 = approximately 33.33%

2. Multiply the given number by this percentage, making sure to convert the percentage back into decimal form before doing so:

Given Number * (Percentage / 100)

Example: Calculate 1/3 of 6

6 * (33.33 / 100) = 6 * 0.3333 ≈ 1.9998 ≈ 2 (rounded to the nearest whole number)

Conclusion

Finding one-third of a number is a simple mathematical operation that can be done using various techniques, such as multiplying by a fraction, dividing by three, or using percentages. Knowing these methods will make it easier to divide numbers into thirds in everyday life and when working with mathematical problems.

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How to calculate 10 percent

Matthew Lynch

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